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41234334024 = 233134121115277
BaseRepresentation
bin100110011001110000…
…100000000101001000
310221102200200012110110
4212121300200011020
51133421442142044
630535350514320
72656553025162
oct463160400510
9127380605413
1041234334024
111653a785504
127ba93659a0
133b71a08620
141dd24b7932
1511150556b9
hex999c20148

41234334024 has 128 divisors (see below), whose sum is σ = 114269662080. Its totient is φ = 12318566400.

The previous prime is 41234333999. The next prime is 41234334047. The reversal of 41234334024 is 42043343214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41234333982 and 41234334000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2691474 + ... + 2706750.

It is an arithmetic number, because the mean of its divisors is an integer number (892731735).

Almost surely, 241234334024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41234334024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57134831040).

41234334024 is an abundant number, since it is smaller than the sum of its proper divisors (73035328056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41234334024 is a wasteful number, since it uses less digits than its factorization.

41234334024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15551 (or 15547 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 41234334024 its reverse (42043343214), we get a palindrome (83277677238).

The spelling of 41234334024 in words is "forty-one billion, two hundred thirty-four million, three hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 211 246 312 328 422 492 533 633 844 984 1066 1266 1599 1688 2132 2532 2743 3198 4264 5064 5486 6396 8229 8651 10972 12792 15277 16458 17302 21944 25953 30554 32916 34604 45831 51906 61108 65832 69208 91662 103812 112463 122216 183324 198601 207624 224926 337389 366648 397202 449852 595803 626357 674778 794404 899704 1191606 1252714 1349556 1588808 1879071 2383212 2505428 2699112 3223447 3758142 4766424 5010856 6446894 7516284 8142641 9670341 12893788 15032568 16285282 19340682 24427923 25787576 32570564 38681364 41904811 48855846 65141128 77362728 83809622 97711692 125714433 132161327 167619244 195423384 251428866 264322654 335238488 396483981 502857732 528645308 792967962 1005715464 1057290616 1585935924 1718097251 3171871848 3436194502 5154291753 6872389004 10308583506 13744778008 20617167012 41234334024